1275883560 has 288 divisors, whose sum is σ = 4865702400. Its totient is φ = 289094400.

The previous prime is 1275883547. The next prime is 1275883571. The reversal of 1275883560 is 653885721.

1275883560 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 8 + 83 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2663401 + ... + 2663879.

It is an arithmetic number, because the mean of its divisors is an integer number (16894800).

Almost surely, 2^1275883560 is an apocalyptic number.

1275883560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1275883560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432851200).

1275883560 is an abundant number, since it is smaller than the sum of its proper divisors (3589818840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1275883560 is a wasteful number, since it uses less digits than its factorization.

1275883560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 1275883560 is about 35719.5123146999. The cubic root of 1275883560 is about 1084.6018657181.

The spelling of 1275883560 in words is "one billion, two hundred seventy-five million, eight hundred eighty-three thousand, five hundred sixty".